Fractions, Decimals, and Percents

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Fractions, Decimals, and Percents
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Percents as Decimals

• To write a percent as a decimal, divide by 100
  and remove the percent symbol.
• Example 1 63
• 63 100
• The decimal moves two places to the left, and you
  remove the percent symbol.

0.63
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Decimals as Percents

• To write a decimal as a percent, multiply by 100
  and add the percent symbol.
• Example 2 0.45
• 0.45 (100)
• The decimal moves two places to the right, and
  you add the percent symbol.

45
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Fractions as Percents

• Method 1 Use a proportion by setting the
  fraction equal to and solve for x. Then
  add a percent symbol to your answer.
• Example 3 Write as a percent.

3(100) 8x
37.5 x
37.5
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Fractions as Percents

• Method 2 Write as a decimal by dividing the
  numerator by the denominator. Then multiply your
  answer by 100 and add a percent symbol.
• Example 3 Write as a percent.
• 8 3.000
• - 24
• 60
• - 56
• 40
• - 40
• 0

0.3
7
5
0.375(100)
37.5
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Percent Decimal Examples

• Example 4

• Example 5

• Change the following percent to a decimal.
• 89

• Change the following decimal to a percent.
• 0.13

89 100 0.89
0.13(100) 13 13
Divide by 100, or move the decimal two places to
the left.
Multiply by 100, or move the decimal two places
to the right. Then add the percent symbol.
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Fractions as PercentsWrite as a percent.

• Method 1

• Method 2

• Use a Proportion.

• Write as a decimal.
• 3 2.00
• - 18
• 20
• - 18
• 2
• 0.666(100) 66.6
• 66.6

0.6
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2(100) 3x
66.66 x
66.6